Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-12-08
Eur.Phys.J.C64:63-72,2009
Physics
Nuclear Physics
Nuclear Theory
10 pages, 8 figures, epj class file, version accepted for publication in Euro. Phys.J C
Scientific paper
10.1140/epjc/s10052-009-1126-8
We propose a quasi-particle model to describe the lattice QCD equation of state for pure SU(3) gauge theory in its deconfined state, for $T \ge 1.5T_c$. The method involves mapping the interaction part of the equation of state to an effective fugacity of otherwise non-interacting quasi-gluons. We find that this mapping is exact. Using the quasi-gluon distribution function, we determine the energy density and the modified dispersion relation for the single particle energy, in which the trace anomaly is manifest. As an application, we first determine the Debye mass, and then the important transport parameters, {\it viz}, the shear viscosity, $\eta$ and the shear viscosity to entropy density ratio, $\eta/{\mathcal S}$. We find that both $\eta$ and $\eta/{\mathcal S}$ are sensitive to the interactions, and that the interactions significantly lower both $\eta$ and $\eta/\mathcal S$.
Chandra Vinod
Ravishankar V.
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